Search Header Logo
Equations of Circles

Equations of Circles

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1, 7.G.B.4

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of the equation of a circle?

Back

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Tags

CCSS.HSG.GPE.A.1

2.

FLASHCARD QUESTION

Front

How do you find the center of a circle from its equation?

Back

To find the center of a circle from its equation in standard form (x - h)² + (y - k)² = r², identify the values of h and k.

Tags

CCSS.HSG.GPE.A.1

3.

FLASHCARD QUESTION

Front

What is the radius of a circle if its equation is (x - 1)² + (y + 2)² = 16?

Back

The radius is 4 units, since r² = 16, thus r = √16 = 4.

Tags

CCSS.HSG.GPE.A.1

4.

FLASHCARD QUESTION

Front

What is the diameter of a circle if the radius is 5 units?

Back

The diameter is 10 units, since diameter = 2 * radius.

Tags

CCSS.7.G.B.4

5.

FLASHCARD QUESTION

Front

What does the term (h, k) represent in the equation of a circle?

Back

The term (h, k) represents the center of the circle.

Tags

CCSS.HSG.GPE.A.1

6.

FLASHCARD QUESTION

Front

How can you convert the general form of a circle's equation to standard form?

Back

To convert from general form Ax² + Ay² + Bx + Cy + D = 0 to standard form, complete the square for x and y.

Tags

CCSS.HSG.GPE.A.1

7.

FLASHCARD QUESTION

Front

What is the center of the circle given by the equation (x - 3)² + (y + 1)² = 25?

Back

The center is (3, -1).

Tags

CCSS.HSG.GPE.A.1

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?